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- W4379256192 abstract "This article deals with applications of Voronin's universality theorem for the Riemann zeta-function $zeta$. Among other results we prove that every plane smooth curve appears up to a small error in the curve generated by the values $zeta(sigma+it)$ for real $t$ where $sigmain(1/2,1)$ is fixed. In this sense, the values of the zeta-function on any such vertical line provides an atlas for plane curves. In the same framework, we study the curvature of curves generated from $zeta(sigma+it)$ when $sigma>1/2$ and we show that there is a connection with the zeros of $zeta'(sigma+it)$. Moreover, we clarify under which conditions the real and the imaginary part of the zeta-function are jointly universal." @default.
- W4379256192 created "2023-06-04" @default.
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- W4379256192 date "2023-06-01" @default.
- W4379256192 modified "2023-10-18" @default.
- W4379256192 title "Spirals of Riemann's Zeta-Function --Curvature, Denseness, and Universality--" @default.
- W4379256192 doi "https://doi.org/10.1017/s0305004123000543" @default.
- W4379256192 hasPublicationYear "2023" @default.
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